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Finding the Fourth Proportional to 294,427.20, 441,640.80 and 154,228.80

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Solution

The fourth proportional to 294,427.20, 441,640.80 and 154,228.80 is: 231,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,427.20 : 441,640.80 = 154,228.80 : x
  2. Step 2: Convert to fraction form
    294,427.20/441,640.80 = 154,228.80/x
  3. Step 3: Cross multiply
    294,427.20x = 441,640.80 × 154,228.80
  4. Step 4: Simplify right side
    294,427.20x = 68,113,730,615.04
  5. Step 5: Solve for x
    x = 68,113,730,615.04/294,427.20
  6. Step 6: Final answer
    x = 231,343.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.